List questions from holomorphic-bundles

Published on 04 Feb 2016 - 15:11

142

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Show that there existe a unique holomorphic function $f : D(0; 1) \to \mathbb{C}$ such that $f(0)=0$ and $f'(z)=\frac{1}{1-z}$

Published on 22 Feb 2016 - 20:04

159

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Connection of $\mathcal{O}(n)$ on a toric manifold

Published on 31 May 2016 - 14:20

330

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Roots of canonical line bundles that are not necessarily square roots

Published on 10 Jun 2016 - 5:18

1.6k

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Dual of a holomorphic vector bundle

Published on 25 Apr 2013 - 9:45

1.1k

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Motivation for the study of the Chern connection

Published on 25 Apr 2013 - 19:42

126

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Prove that: $\|f\|$ is constant in $G$.

Published on 20 Jun 2013 - 8:37

7.6k

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Conformal map iff holomorphic

Published on 23 Feb 2014 - 19:17

143

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Subbundles of Direct Sum of Holomorphic Line Bundles

Published on 22 Apr 2017 - 0:10

538

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Isomorphism of Holomorphic Vector Bundles

Published on 26 May 2017 - 16:12

76

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the natural isomorphism $H^0(\mathbb P^n, T_{\mathbb P^n}(-1)) \cong H^0(\mathbb P^n, \mathcal O_{\mathbb P^n}(1))^\vee $

Published on 30 May 2017 - 18:52

226

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Narasimhan-Seshadri and Weil's theorem

Published on 16 Jun 2017 - 23:42

287

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holomorphic line bundles

Published on 05 Jul 2017 - 15:35

354

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How to write holomorphic line bundles on compact Riemann surfaces in coordinates

Published on 23 Oct 2017 - 9:22

88

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Connection of $\mathcal{O}_{\mathbb{P}^1 \times \mathbb{P}^1}(a,b)$

Published on 07 Nov 2017 - 10:16

List Question

Why the canonical bundle of a complex manifold is a line bundle?

Show that there existe a unique holomorphic function $f : D(0; 1) \to \mathbb{C}$ such that $f(0)=0$ and $f'(z)=\frac{1}{1-z}$

Connection of $\mathcal{O}(n)$ on a toric manifold

Roots of canonical line bundles that are not necessarily square roots

Dual of a holomorphic vector bundle

Motivation for the study of the Chern connection

Prove that: $\|f\|$ is constant in $G$.

Conformal map iff holomorphic

Subbundles of Direct Sum of Holomorphic Line Bundles

Isomorphism of Holomorphic Vector Bundles

the natural isomorphism $H^0(\mathbb P^n, T_{\mathbb P^n}(-1)) \cong H^0(\mathbb P^n, \mathcal O_{\mathbb P^n}(1))^\vee $

Narasimhan-Seshadri and Weil's theorem

holomorphic line bundles

How to write holomorphic line bundles on compact Riemann surfaces in coordinates

Connection of $\mathcal{O}_{\mathbb{P}^1 \times \mathbb{P}^1}(a,b)$

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